Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
Graph
Share
Copied to clipboard
4\left(x-1\right)-3\left(x-2\right)-2\left(x+3\right)=-\left(x+4\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4,6,12.
4x-4-3\left(x-2\right)-2\left(x+3\right)=-\left(x+4\right)
Use the distributive property to multiply 4 by x-1.
4x-4-3x+6-2\left(x+3\right)=-\left(x+4\right)
Use the distributive property to multiply -3 by x-2.
x-4+6-2\left(x+3\right)=-\left(x+4\right)
Combine 4x and -3x to get x.
x+2-2\left(x+3\right)=-\left(x+4\right)
Add -4 and 6 to get 2.
x+2-2x-6=-\left(x+4\right)
Use the distributive property to multiply -2 by x+3.
-x+2-6=-\left(x+4\right)
Combine x and -2x to get -x.
-x-4=-\left(x+4\right)
Subtract 6 from 2 to get -4.
-x-4=-x-4
To find the opposite of x+4, find the opposite of each term.
-x-4+x=-4
Add x to both sides.
-4=-4
Combine -x and x to get 0.
\text{true}
Compare -4 and -4.
x\in \mathrm{C}
This is true for any x.
4\left(x-1\right)-3\left(x-2\right)-2\left(x+3\right)=-\left(x+4\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4,6,12.
4x-4-3\left(x-2\right)-2\left(x+3\right)=-\left(x+4\right)
Use the distributive property to multiply 4 by x-1.
4x-4-3x+6-2\left(x+3\right)=-\left(x+4\right)
Use the distributive property to multiply -3 by x-2.
x-4+6-2\left(x+3\right)=-\left(x+4\right)
Combine 4x and -3x to get x.
x+2-2\left(x+3\right)=-\left(x+4\right)
Add -4 and 6 to get 2.
x+2-2x-6=-\left(x+4\right)
Use the distributive property to multiply -2 by x+3.
-x+2-6=-\left(x+4\right)
Combine x and -2x to get -x.
-x-4=-\left(x+4\right)
Subtract 6 from 2 to get -4.
-x-4=-x-4
To find the opposite of x+4, find the opposite of each term.
-x-4+x=-4
Add x to both sides.
-4=-4
Combine -x and x to get 0.
\text{true}
Compare -4 and -4.
x\in \mathrm{R}
This is true for any x.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}